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Mathematics 2019, 7(3), 264; https://doi.org/10.3390/math7030264

Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method

1
Department of Mathematics, Islamia University of Bahawalpur, Bahawalpur 63100, Paakistan
2
Energy Research Center, COMSATS University, Lahore 54000, Pakistan
3
Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan 64200, Pakistan
4
Department of Informatics and Systems, School of Systems and Technology, University of Management and Technology, Lahore 54000, Pakistan
*
Author to whom correspondence should be addressed.
Received: 2 January 2019 / Revised: 7 February 2019 / Accepted: 8 February 2019 / Published: 14 March 2019
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Abstract

In this article, Optimal Homotopy Asymptotic Method (OHAM) is used to approximate results of time-fractional order Fokker-Planck equations. In this work, 3rd order results obtained through OHAM are compared with the exact solutions. It was observed that results from OHAM have better convergence rate for time-fractional order Fokker-Planck equations. The solutions are plotted and the relative errors are tabulated. View Full-Text
Keywords: fractional calculus; time-fractional order Fokker-Planck equations; approximate solutions; Optimal Homotopy Asymptotic Method fractional calculus; time-fractional order Fokker-Planck equations; approximate solutions; Optimal Homotopy Asymptotic Method
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Younas, H.M.; Mustahsan, M.; Manzoor, T.; Salamat, N.; Iqbal, S. Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method. Mathematics 2019, 7, 264.

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